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253012716 = 2232115411181
BaseRepresentation
bin11110001010010…
…10101011101100
3122122002101012100
433011022223230
51004232401331
641034535100
76161400255
oct1705125354
9578071170
10253012716
1111a901220
1270897490
1340558a88
1425861b2c
151732bae6
hexf14aaec

253012716 has 72 divisors (see below), whose sum is σ = 699583248. Its totient is φ = 76464000.

The previous prime is 253012699. The next prime is 253012723. The reversal of 253012716 is 617210352.

It is a happy number.

253012716 is a `hidden beast` number, since 2 + 530 + 127 + 1 + 6 = 666.

253012716 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 253012716.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213646 + ... + 214826.

It is an arithmetic number, because the mean of its divisors is an integer number (9716434).

Almost surely, 2253012716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253012716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349791624).

253012716 is an abundant number, since it is smaller than the sum of its proper divisors (446570532).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253012716 is a wasteful number, since it uses less digits than its factorization.

253012716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 253012716 is about 15906.3734395996. The cubic root of 253012716 is about 632.4809503342.

The spelling of 253012716 in words is "two hundred fifty-three million, twelve thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 541 1082 1181 1623 2164 2362 3246 3543 4724 4869 5951 6492 7086 9738 10629 11902 12991 14172 17853 19476 21258 23804 25982 35706 38973 42516 51964 53559 71412 77946 107118 116919 155892 214236 233838 467676 638921 1277842 1916763 2555684 3833526 5750289 7028131 7667052 11500578 14056262 21084393 23001156 28112524 42168786 63253179 84337572 126506358 253012716